College

Monique and Tara each make an ice-cream sundae.

- Monique gets 2 scoops of Cherry ice cream and 1 scoop of Mint Chocolate Chunk ice cream for a total of 71 g of fat.
- Tara has 1 scoop of Cherry and 2 scoops of Mint Chocolate Chunk for a total of 61 g of fat.

How many grams of fat does 1 scoop of each type of ice cream have?​

Answer :

The factors in the word problem for the amount of fat in the ice cream

combination are given by the fat in each constituent.

  • The amount of fat in Cherry ice-cream is 27 grams.
  • The amount of fat in the Mint Chocolate Chunk ice-cream is 17 grams.

Reasons:

The given parameters are;

Let C represent the amount of fat in Cherry ice-cream, and let M represent

the amount of fat in Mint Chocolate Chunk ice-cream, we get;

2·C + M = 71...(1)

C + 2·M = 61...(2)

Multiplying equation (1) by 2 and then subtracting equation (2) from the

result gives;

2 × (2·C + M) = 2 × 71

4·C + 2·M = 142...(3)

(4·C + 2·M) - (C + 2·M) = 142 - 61

3·C = 81

[tex]C=\dfrac{81}{3} =27[/tex]

The amount of fat in Cherry ice-cream C = 27 grams

2 × 27 + M = 71

M = 71 - 2 × 27 = 17

The amount of fat in the Mint Chocolate Chunk ice-cream, M = 17 grams

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